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Finding the Third Proportional to 13,545 and 20,462

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Solution

The third proportional to 13,545 and 20,462 is: 30,911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545 : 20,462 = 20,462 : x
  2. Step 2: Convert to fraction form
    13,545/20,462 = 20,462/x
  3. Step 3: Cross multiply
    13,545x = 20,462 × 20,462
  4. Step 4: Simplify right side
    13,545x = 418,693,444
  5. Step 5: Solve for x
    x = 418,693,444/13,545
  6. Step 6: Final answer
    x = 30,911.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.